EP1164716A2 - Method for enhanced power control by adaptively adjusting an amount of change in a target signal-to-noise ratio - Google Patents
Method for enhanced power control by adaptively adjusting an amount of change in a target signal-to-noise ratio Download PDFInfo
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- EP1164716A2 EP1164716A2 EP01304720A EP01304720A EP1164716A2 EP 1164716 A2 EP1164716 A2 EP 1164716A2 EP 01304720 A EP01304720 A EP 01304720A EP 01304720 A EP01304720 A EP 01304720A EP 1164716 A2 EP1164716 A2 EP 1164716A2
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- error rates
- target
- standard deviation
- symbol error
- determining
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/06—TPC algorithms
- H04W52/12—Outer and inner loops
- H04W52/125—Outer and inner loops cascaded outer loop power control
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/18—TPC being performed according to specific parameters
- H04W52/20—TPC being performed according to specific parameters using error rate
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/18—TPC being performed according to specific parameters
- H04W52/22—TPC being performed according to specific parameters taking into account previous information or commands
- H04W52/225—Calculation of statistics, e.g. average or variance
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/18—TPC being performed according to specific parameters
- H04W52/24—TPC being performed according to specific parameters using SIR [Signal to Interference Ratio] or other wireless path parameters
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W52/00—Power management, e.g. Transmission Power Control [TPC] or power classes
- H04W52/04—Transmission power control [TPC]
- H04W52/30—Transmission power control [TPC] using constraints in the total amount of available transmission power
- H04W52/36—Transmission power control [TPC] using constraints in the total amount of available transmission power with a discrete range or set of values, e.g. step size, ramping or offsets
Definitions
- the present invention relates to power control in a wireless communication system.
- CDMA code division multiple access
- IS-95 standard for CDMA (code division multiple access) wireless systems
- the ultimate objective of power control in CDMA systems is to achieve a desired speech quality on a particular link at a minimum transmit power level.
- the IS-95 standard has provided for a power control scheme known in the art as "inner loop power control.”
- a base-station transmits a 1-bit feedback signal to a mobile station every 1.25 milliseconds (ms).
- the 1-bit value of this feedback signal is representative of whether an estimate of the instantaneous bit energy to noise density ratio ( E b /N 0 ), which is representative of the signal-to-noise ratio, of the received signal at the base station (transmitted from the mobile station) exceeds, or falls below, a target ratio E bT /N 0T .
- the bit energy to noise density ratio will be referred to as the signal-to-noise ratio.
- the ultimate objective of a power control scheme in the context of CDMA systems is to achieve a desired speech quality on a particular link at a minimum transmit power level.
- a simple, quantifiable, measure of the speech quality on a link is the associated frame error rate (FER) on that link.
- FER frame error rate
- the desired speech quality can be said to have been achieved on a link if the FER is at or below a certain level (e.g., 1%).
- the FER is a function of the average E b /N 0 at the receiver.
- the FER is, ultimately, determined by the target E bT /N 0T . Therefore, to achieve the desired speech quality in a given fading environment, the target E bT /N 0T needs to be set at a level which is appropriate for that environment. Otherwise, the transmission of one mobile station could interfere with the transmission of another mobile station such that the mobile station interfered with can not be heard by the base station - essentially, reducing the capacity of the base station.
- ROLPC Reverse Outer Loop Power Control
- the associated symbol error count is compared with the target SER and the E bT /N 0T target is raised or lowered depending upon whether the symbol error count was above or below the SER target.
- the updated E bT /N 0T target is used to generate inner loop feedback bits during the next frame.
- the above-mentioned fixed SER target ROLPC technique uses a fixed SER target for the mean value of the SER Notwithstanding the performance improvements possible with the above-mentioned fixed SER target ROLPC technique, it has been observed that the correlation between the SER and FER varies across different wireless communications environments. For a given (fixed) SER target, the FERs in different fading environments can differ by an order of magnitude. In other words, the above-mentioned fixed SER target ROLPC technique cannot maintain the FER close to the target in all fading environments. As such, in order to achieve a desired FER, different environments require different SER targets. Commonly assigned, United States Patent Application Nos.
- 09/052,696 and 09/052,581 of Rege entitled "An Adaptive Symbol Error Rate Based Technique for CDMA Reverse Link Outer Loop Power Control," and “A Non-Adaptive Symbol Error Count Based Algorithm for CDMA Reverse Link Outer Loop Power Control,” respectively, describe techniques for achieving a desired FER under different fading conditions.
- the adaptive technique describes an adaptive SER based power control scheme that uses the coefficient of variation (or standard deviation) of the symbol error count as a "signature" of the environment for dynamically setting the SER target based on its estimate of the environment.
- the alternative, non-adaptive symbol error count based reverse link outer loop power control technique also achieves the desired FER under a variety of fading environments.
- this technique sets a target for a second order statistic of the SE count.
- both methods use a comparison of the target with measured value to make changes in the E bT /N 0T target; namely, an increase or decrease by a fixed amount. Consequently, achieving improved performance through these types of power control methods may take several iterations because the increase and decrease in the E bT /N 0T target occur in fixed amounts.
- the method according to the present invention provides for enhanced power control by adaptively adjusting an amount of change in a target signal-to-noise ratio.
- the amount by which the target signal-to-noise ratio changes is a function of the standard deviation of the symbol error rate (SER), and more particularly, the difference between the standard deviation of the SER and a target standard deviation of the SER.
- SER symbol error rate
- adaptively changing the target signal-to-noise ratio is triggered by the updating of a frame error rate (FER).
- FER frame error rate
- the target signal-to-noise ratio is changed.
- the target standard deviation of the SER is updated so that the two quality indicators become more consistent.
- Fig. 1 illustrates a portion of a CDMA mobile communications system 200 embodying the principles of the invention.
- base station 201 includes stored-program-control processors, memory, and appropriate interface cards. Except as noted below, and for the purposes of description only, it is assumed that the CDMA mobile communications system conforms to industry standard IS-95. However, it will be appreciated from the following disclosure that the present invention is also applicable to other industry standards such as CDMA 2000, etc.
- the system 200 includes a mobile switching center (MSC 205), which (among other things) provides call processing; three base stations: 201, 202, and 203; and a mobile station 210, which is illustratively represented by a vehicle icon.
- the three base stations 201, 202 and 203 and the mobile station 210 are representative of wireless endpoints.
- Each of the base stations 201, 202 and 203 is coupled to the MSC 205 over respective land-line facilities, 206, 207 and 208.
- the mobile station 210 is in communications with the base station 201, via a downlink signal 212, and an uplink signal 211.
- the base station 201 performs reverse outer loop power control (ROLPC) on the received signal 211 from the mobile station 210.
- Fig. 2 shows a portion of the base station 201 embodying the principles of the invention. Other than the inventive concept, the elements shown in Fig. 2 are well-known and will not be described in detail.
- a controller 305 is representative of a stored-program-controlled processor with associated memory as known in the art. Also, only that portion of the base station 201 related to the inventive concept is shown, e.g., other processing by a receiver 310 of the received signal is not described.
- the base station 201 includes the controller 305 (also referred to herein as the base station processor), the receiver 310, and a transmitter 315.
- the receiver 310 receives the uplink signal 211, and provides to the controller 305 two signals: R, which is the reciprocal of the rate of the frame just processed by the receiver 310 and is equal to 0 if there is an erasure so that the rate information is lost; and SE n , which is the symbol error count generated by the n th frame.
- the controller 305 updates the signal-to-noise ratio target.
- the controller 305 also controls the transmitter 315 to provide the above-mentioned feedback signal to mobile station 210 for controlling the transmit signal level of the mobile station 210.
- the up and down scaling factors ⁇ up ( ⁇ ) and ⁇ down ( ⁇ ) are designed to correct errors in the target signal-to-noise ratio.
- , but the present invention is not limited to having ⁇ up ( ⁇ ) ⁇ down ( ⁇ ) or limited to this function of ⁇ . Instead other functions of ⁇ can be devised depending on the implementation.
- the up, down and SER adjustment steps ⁇ up , ⁇ down and ⁇ SER depend on the acceptable or desired FER.
- Table 1 below provides an example of the values of the up, down and SER adjustment steps ⁇ up , ⁇ down and ⁇ SER for different acceptable FER values.
- FIG. 3A A first embodiment of the present invention is illustrated in Figs. 3A-3B.
- the controller 305 determines if the FER of the current (i.e, nth) frame exceeds the desired or acceptable frame error rate set by the system designer (e.g., 1%). If so, then in step S20, the controller 305 calculates the difference ⁇ between the standard deviation of the SER, ⁇ , and the target of the standard deviation of the SER, ⁇ target .
- the target standard deviation is initially established based on the acceptable FER according to the plot shown in Fig. 5.
- Fig. 5 illustrates a graph of initial standard deviations of the SER for mobile stations travelling at different speeds versus the expected resulting FERs. Accordingly, for example, if the acceptable FER is set at 2%, then the initial target standard deviation of the SER would be set at ⁇ 12 because this should result in an FER ⁇ 2% regardless of the mobile station's speed.
- step S30 the controller 305 determines if the difference ⁇ is less than or equal to 0. Namely, the difference ⁇ represents the communication quality based on the standard deviation of the SER. Because the FER indicates unacceptable communication quality, then the difference ⁇ should also indicate unacceptable communication quality, which means that ⁇ should be greater than 0. Consequently, when the difference ⁇ indicates acceptable communication quality ( ⁇ ⁇ 0), processing proceeds to step S40.
- step S40 the target signal-to-noise ratio is updated according to equation (1) shown below and the target standard deviation of the SER, ⁇ target , is updated as shown in equation (2) below.
- the target signal-to-noise ratio is increased by ⁇ up .
- the FER is the more accurate indication of communication quality
- a self-correction of the difference ⁇ takes place by decreasing the target standard deviation of the SER by the down self-healing correction amount ⁇ down (e.g. 0.5, however, the value of ⁇ down is a matter of design choice).
- step S40 processing ends until the next FER is received and processing begins at step S10.
- the target signal-to-noise ratio is increased by an amount of sign ( ⁇ ) ⁇ up ( ⁇ ) ⁇ SER (note that sign(6) is positive). And, because the value of ⁇ up ( ⁇ ) varies as a function of the difference ⁇ , the amount of the increase in the signal-to-noise ratio is an adaptive adjustment.
- step S10 if the FER indicates acceptable communication quality (e.g., less than 1%), then processing proceeds to step S60 as shown in Fig. 3B.
- step S60 the difference ⁇ is calculated in the same manner as described above with respect to S20.
- step S70 the controller 305 determines if communication quality indicated by the difference ⁇ is in agreement with that of the FER. Namely, the FER indicates acceptable communication quality, and as discussed above, when the difference ⁇ is less than 0, the difference ⁇ also indicates acceptable communication quality. Consequently, if the difference ⁇ is less than 0 in step S70, then in step S80, the target signal-to-noise ratio is decreased according to equation (4) (note that sign( ⁇ ) is negative) below.
- E bT /N 0T ) (n) ( E bT /N 0T ) (n-1) + sign ( ⁇ ) ⁇ down ( ⁇ ) ⁇ SER
- the target signal-to-noise ratio can be reduced. As shown by equation (4), the target signal-to-noise ratio is reduced by the amount sign( ⁇ ) ⁇ down ( ⁇ ) ⁇ SER . And, because the value of ⁇ down ( ⁇ ) varies as a function of the difference ⁇ , the amount of the decrease in the signal-to-noise ratio is an adaptive adjustment.
- step S70 If in step S70, the difference ⁇ indicates unacceptable communication quality ( ⁇ ⁇ 0), which is inconsistent with the communication quality indicated by the FER, processing proceeds to step S90.
- the target signal-to-noise ratio can be reduced according to equation (5). Specifically, the target signal-to-noise ratio is reduced by the amount ⁇ down. Furthermore, because the level of communication quality indicated by the difference ⁇ is inconsistent with the more accurate quality indication based on the FER, the target standard deviation of the SER is increased by the self-correction amount ⁇ (e.g., 0.5) so that the quality indicated by the difference ⁇ becomes more consistent with that indicated by the FER. As with ⁇ down, the value of ⁇ up is a matter of design choice.
- step S80 or step S90 processing ends until the next frame error measurement, wherein processing begins again in step S10.
- the adaptive adjustment of the target signal-to-noise ratio is triggered by the FER, which is generated once every frame, approximately every 20 msec.
- the amount of adjustment to the target signal-to-noise ratio is based on the SER, and more particularly, the standard deviation of the SER and the target therefore.
- the target standard deviation of the SER is adaptively corrected based on the accurate quality indication of the FER. Because of the adaptive adjustment of the target signal-to-noise ratio, a wireless system incorporating the method according to the present invention can more quickly adapt to dynamic environments, and provide a higher level of communication quality in such environments.
- Figs. 4A-4B illustrate another embodiment for adaptively adjusting an amount of change in the target signal-to-noise ratio according to the present invention.
- the FER is generated once each frame, approximately every 20 msec.
- the SER, and therefore the standard deviation of the SER, are generated in significantly less time than 20 msec (e.g., 1-5msec).
- the target signal-to-noise ratio is adaptively changed according to the flowchart shown in Fig. 4A.
- step S100 the controller 305 calculates the difference ⁇ in the same manner as discussed previously with respect to step S20 in Fig. 3A. Then, in step S110, the controller updates the target signal-to-noise ratio according to an equation substantially the same as equation (3) and (4) discussed with respect to steps S50 and S80 in Figs. 3A and 3B, except that ⁇ down ( ⁇ ) and ⁇ up ( ⁇ ) respectively have been replaced by a single adaptive adjustment h( ⁇ ).
- the method of adaptively changing the target signal-to-noise ratio adapts to a dynamically changing environment even more quickly than the method described above with respect to Figs. 3A and 3B.
- the method according to this second embodiment also performs the self-correcting operation illustrated in Fig. 4B every 20 msec when the FER is generated.
- the controller determines if the FER is greater than or equal to the desired FER. If the FER is greater than the desired FER, indicating unacceptable communication quality, then in step S130 it is determined if the current difference ⁇ from step S100 of Fig. 4A is consistent or inconsistent with this quality determination. Namely, if the difference ⁇ is less than or equal to 0, then the difference ⁇ indicates acceptable communication quality and is inconsistent with the quality indication from the FER.
- the controller 305 decreases the target standard deviation of the SER by the self-correction amount ⁇ down .
- step S130 If in step S130, the difference ⁇ indicates unacceptable communication quality ( ⁇ ⁇ 0), then processing ends until the next FER is generated.
- step S150 the controller 305 determines if the difference ⁇ indicates acceptable communication quality as well. Namely, the controller 30 determines if the difference ⁇ is greater than or equal to 0. If the difference ⁇ is greater than or equal to 0, then the difference ⁇ indicates unacceptable communication quality, and is inconsistent with the quality determination based on the FER. As a result, the controller in step S160 will increase the target standard deviation for the SER by the self-correction amount ⁇ up , and processing ends until the next FER is generated.
- step S150 if the difference ⁇ indicates acceptable communication quality consistent with the determination based on the FER, then processing ends until the next FER is generated.
- the method according to the second embodiment allows the target signal-to-noise ratio to be adjusted at a much quicker rate than that of the first embodiment, and also provides for a self-correcting mechanism when the quality of communication indicated by the SER is inconsistent with that indicated by the more accurate FER measurement.
- ROLPC techniques modified in accordance with the present invention provide for improved adaptive adjustment to the target signal-to-noise ratio. As such, the present invention provides for improved power control in rapidly or dynamically changing environments.
- the present invention has been described with respect to CDMA, it should be understood that the present invention is not limited to CDMA. Instead the present invention is applicable to the reverse and/or forward link power control of other communication methodologies permitting a similar type of power control.
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Abstract
Description
| | 1% | 2% | 3% | 4% | 5% |
| ▵up | 3dB | 2.5dB | 2dB | 1.5dB | 1dB |
| Δdown | 1dB | 1.5dB | 2dB | 2.5dB | 3dB |
| ΔSER | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 |
Claims (16)
- A method for use in a wireless infrastructure, comprising:receiving a signal from a transmitting device;determining symbol error rates based on said received signal; andperforming reverse outer loop power control with adaptive adjustment of an amount of change in a target signal-to-noise ratio, said adaptive adjustment based on said symbol error rates.
- The method of claim 1, wherein said adaptive adjustment is based on said symbol error rates and a target associated with said symbol error rates.
- The method of claim 1, wherein said adaptive adjustment is triggered by determination of a frame error rate.
- The method of claim 1, further comprising:determining frame error rates based on said received signal; and whereinsaid adaptive adjustment adjusts said target signal-to-noise ratio by an amount based on said frame error rates and said symbol error rates.
- The method of claim 1, further comprising:determining frame error rates from said received signal;determining whether to increase or decrease said target signal-to-noise ratio based on said frame error rates; anddetermining an amount to increase or decrease said target signal-to-noise ratio based on said symbol error rates.
- A method for use in a wireless infrastructure, comprising:receiving a signal from a transmitting device;first determining a standard deviation of a symbol error rates based on said received signal; andperforming power control with adaptive adjustment of an amount of change in a target signal-to-noise ratio based on said standard deviation of said symbol error rates.
- The method of claim 6, wherein said adaptive adjustment adjusts said target signal-to-noise ratio by an amount based on said standard deviation of said symbol error rates and a target standard deviation of said symbol error rates.
- The method of claim 7, further comprising:second determining frame error rates from said received signal; andthird determining whether to increase or decrease said target standard deviation of said symbol error rates based on said frame error rates.
- The method of claim 8, wherein said third determining step comprises:fourth determining if communication quality is acceptable based on said frame error rates;fifth determining if communication quality is acceptable based on said standard deviation of said symbol error rates and said target standard deviation of said symbol error rates; anddecreasing said target standard deviation of said symbol error rates if said output of said fourth determining step indicates unacceptable communication quality and said output of said fifth determining step indicates acceptable communication quality; andincreasing said target standard deviation of said symbol error rates if said output of said fourth determining step indicates unacceptable communication quality and said output of said fifth determining step indicates acceptable communication quality.
- The method of claim 9, further comprising:first determining if communication quality is acceptable based on said frame error rates;second determining if communication quality is acceptable based on said standard deviation of said symbol error rates and said target standard deviation of said symbol error rates; andadjusting said target standard deviation of said symbol error rates consistent with output of said first determining step when said output of said first determining step and output of said second determining step are inconsistent.
- The method of claim 6, further comprising:determining frame error rates based on said received signal; and whereinsaid adaptive adjustment adjusts said target signal-to-noise ratio by an amount based on said frame error rates, said standard deviation of said symbol error rates, and a target standard deviation of said symbol error rates.
- The method of claim 6, further comprising:determining frame error rates based on said received signal; and wherein said performing step includes,first determining if communication quality is acceptable based on a frame error rates,second determining if communication quality is acceptable based on said standard deviation of said symbol error rates and a target standard deviation of said symbol error rates,increasing said target signal-to-noise ratio by a first amount if said output of said first determining step indicates unacceptable communication quality and said output of said second determining step indicates acceptable communication quality,increasing said target signal-to-noise ratio by a second amount, which is based on said standard deviation of said symbol error rates and said target standard deviation of said symbol error rates, if said output of said first determining step indicates unacceptable communication quality and said output of said second determining step indicates unacceptable communication quality,decreasing said target signal-to-noise ratio by a third amount if said output of said first determining step indicates acceptable communication quality and said output of said second determining step indicates unacceptable communication quality, anddecreasing said target signal-to-noise ratio by a fourth amount, which is based on said standard deviation of said symbol error rates and said target standard deviation of said symbol error rates, if said output of said first determining step indicates acceptable communication quality and said output of said second determining step indicates acceptable communication quality.
- The method of claim 12, further comprising:decreasing said target standard deviation of said symbol error rates if said output of said first determining step indicates unacceptable communication quality and said output of said second determining step indicates acceptable communication quality; andincreasing said target standard deviation of said symbol error rates if said output of said first determining step indicates unacceptable communication quality and said output of said second determining step indicates acceptable communication quality.
- A method for use in a wireless infrastructure, comprising:receiving a signal from a transmitting device; andperforming power control which is triggered by determination of frame error rates and which adaptively adjusts a target signal-to-noise ratio based on determined symbol error rates, said frame error rates and said symbol error rates determined based on said received signal.
- The method of claim 16, wherein said performing step comprises:determining said frame error rates and symbol error rates from said received signal;determining a standard deviation of said symbol error rates; andadaptively adjusting a target signal-to-noise ratio based on said standard deviation of said symbol error rates.
- The method of claim 15, wherein said performing step comprises:determining a frame error rates and a symbol error rates from said received signal;determining whether to increase or decrease said target signal-to-noise ratio based on said frame error rates; anddetermining an amount to increase or decrease said target signal-to-noise ratio based on said symbol error rates.
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US09/592,287 US6791954B1 (en) | 2000-06-12 | 2000-06-12 | Method for enhanced power control by adaptively adjusting an amount of change in a target signal-to-noise ratio |
| US592287 | 2000-06-12 |
Publications (3)
| Publication Number | Publication Date |
|---|---|
| EP1164716A2 true EP1164716A2 (en) | 2001-12-19 |
| EP1164716A3 EP1164716A3 (en) | 2003-05-02 |
| EP1164716B1 EP1164716B1 (en) | 2011-01-26 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| EP01304720A Expired - Lifetime EP1164716B1 (en) | 2000-06-12 | 2001-05-29 | Method for enhanced power control by adaptively adjusting an amount of change in a target signal-to-noise ratio |
Country Status (5)
| Country | Link |
|---|---|
| US (1) | US6791954B1 (en) |
| EP (1) | EP1164716B1 (en) |
| JP (1) | JP4758563B2 (en) |
| DE (1) | DE60143925D1 (en) |
| TW (1) | TW546927B (en) |
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-
2000
- 2000-06-12 US US09/592,287 patent/US6791954B1/en not_active Expired - Lifetime
-
2001
- 2001-05-11 JP JP2001141359A patent/JP4758563B2/en not_active Expired - Fee Related
- 2001-05-29 EP EP01304720A patent/EP1164716B1/en not_active Expired - Lifetime
- 2001-05-29 DE DE60143925T patent/DE60143925D1/en not_active Expired - Lifetime
- 2001-06-06 TW TW090113715A patent/TW546927B/en not_active IP Right Cessation
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR100403728B1 (en) * | 2002-01-14 | 2003-10-30 | 삼성전자주식회사 | Outer loop power control apparatus in mobile communication system and control method thereof |
| WO2003071710A1 (en) * | 2002-02-25 | 2003-08-28 | Nokia Corporation | Method and network element for controlling power and/or load in a network |
| CN100440751C (en) * | 2002-02-25 | 2008-12-03 | 诺基亚公司 | Method and network element for controlling power and/or load in a network |
Also Published As
| Publication number | Publication date |
|---|---|
| US6791954B1 (en) | 2004-09-14 |
| JP2002026810A (en) | 2002-01-25 |
| EP1164716B1 (en) | 2011-01-26 |
| DE60143925D1 (en) | 2011-03-10 |
| JP4758563B2 (en) | 2011-08-31 |
| TW546927B (en) | 2003-08-11 |
| EP1164716A3 (en) | 2003-05-02 |
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